Answer:
Tim has 75 pencils and 25 pens
Step-by-step explanation:
To solve this create a system of equations. To do so, first create an equation for the total number of utensils that he has. Let x equal the number of pencils and y equal the number of pens.
x+ y = 100
Now make one for the comparison of the two and solve for the constant.
x = 3y
x - 3y = 0
Now to solve the system, multiply the second equation by -1 and add them together.
x + y = 100
-x + 3y = 100
-----------------
4y = 100
y = 25
Now that we have the number of pens, find the number of pencils using an equation.
x + y = 100
x + 25 = 100
x = 75
Answer:
18:81 12:54
Step-by-step explanation:
Answer:
All have an x-coordinate of 0.
and
All are directly above the origin.
These answers are correct
Step-by-step explanation:
i did the quiz/or/assignment
Question:
A population of insects, in thousands, can be modeled using the function
, where t is time in months. Which statement best
describes the population of insects?
A. The population is decaying at a rate of 3% each month.
B. The population is decaying at a rate of 25% each month.
C. The population is growing at a rate of 75% each month.
D. The population is growing at a rate of 97% each month.
Answer:
A. The population is decaying at a rate of 3% each month.
Step-by-step explanation:
Given
Required
True statement about the function
From the options, we can see that we are to answer the question on the basis of decay and growing rates.
An exponential form is:
Compare to
If 
, then 
r represents growth rate
else, 
r represents decay rate
Since b < 0.97:
